Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/472,456/822,945/198
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 791,456,945
Greatest Common Factor of Numerators i.e. GCF of 791,456,945 is 1 .
LCM of Denominators means LCM of 472,822,198 as per the given fractions.
LCM of 472,822,198 is 6401736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 791,456,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 791,456,945 . The biggest common factor number is the GCF number.
So the greatest common factor 791,456,945 is 1.
Lets's calculate LCM of 472,822,198
2 | 472, 822, 198 |
3 | 236, 411, 99 |
236, 137, 33 |
∴ So the LCM of the given numbers is 2 x 3 x 236 x 137 x 33 = 6401736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6401736
Therefore, the GCF of Fractions 791/472,456/822,945/198 is 1/6401736
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 472,822,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,822,198) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(472,822,198) x common factors =2 x 6 = 12
LCM(472,822,198) = ( 472 × 822 × 198 ) / 12
LCM(472,822,198) = 76820832 / 12
LCM(472,822,198) = 6401736
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 791/472, 456/822, 945/198?
Answer: GCF of Numerators as per given numbers 791/472, 456/822, 945/198 is
GCF of Numerators i.e. for 791,456,945 is 1
LCM of denominators i.e. for 472,822,198 is 6401736.
Thus, GCF of Fractions is 1/6401736.Finally, GCF of Fractions for 791/472, 456/822, 945/198 is 1/6401736.